The demand for a certain commodity is D(x) = 1000e−.02x units per month when the market price is x dollars per unit. (a) At what rate is the consumer expenditure E(x) = xD(x) changing with respect to price x when the price is equal to $120 dollars? (b) At what price does consumer expenditure stop increasing and begin to decrease? (c) At what price does the rate of consumer expenditure begin to increase?
The demand for a certain commodity is D(x) = 1000e−.02x units per month when the market price is x dollars per unit. (a) At what rate is the consumer expenditure E(x) = xD(x) changing with respect to price x when the price is equal to $120 dollars? (b) At what price does consumer expenditure stop increasing and begin to decrease? (c) At what price does the rate of consumer expenditure begin to increase?
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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The demand for a certain commodity is D(x) = 1000e−.02x units per month when the market price is x dollars per unit. |
(a) | At what rate is the consumer expenditure E(x) = xD(x) changing with respect to price x when the price is equal to $120 dollars? |
(b) | At what price does consumer expenditure stop increasing and begin to decrease? |
(c) | At what price does the rate of consumer expenditure begin to increase? |
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